The Hasse diagram of the moduli space of instantons
Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Zhenghao Zhong
Abstract
A bstract Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this note we explore the Hasse diagram of this moduli space from several perspectives — using the partial Higgs mechanism, using brane systems and using quiver subtraction — having to refine previously developed techniques. In particular we introduce the new concept of decorated quiver , which allows to deal with a large class of unitary quivers, including those with adjoint matter.
Topics & Concepts
Moduli spaceQuiverInstantonHasse diagramMathematicsPure mathematicsUnitary stateSpace (punctuation)DiagramModuliHiggs bosonAlgebra over a fieldTheoretical physicsPhysicsParticle physicsMathematical physicsDiscrete mathematicsComputer sciencePartially ordered setQuantum mechanicsStatisticsOperating systemLawPolitical scienceBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsQuantum Chromodynamics and Particle Interactions